Please Help Me!
Transform x2 + 10x + 24 = 0 into the form (x - p)2 = q?
[p and q are integers] Three steps only! Show Work!

Question

Please Help Me! 
Transform x2 + 10x + 24 = 0 into the form (x - p)2 = q?
[p and q are integers] Three steps only! Show Work!

alex_mattucci · Answer

Getting answer in a sec

anonymous · Answer

did u get it answer

alex_mattucci · Answer

no sorry, it won't get them posted

anonymous · Answer

ok

alex_mattucci · Answer

can you walk me through a step by step of this

alex_mattucci · Answer

preferably 3 steps

anonymous · Answer

the last one for sure 1st not can't be cuz 0x + 24 = 0 can't positively = out  (x - p)2 = q ID think so

alex_mattucci · Answer

What?

anonymous · Answer

just nvm

anonymous · Answer

@Daniellelovee por favor ayudenos

anonymous · Answer

does it make sense no

alex_mattucci · Answer

no

alex_mattucci · Answer

@Directrix Please help here

zepdrix · Answer

So this problem is asking you to `complete the square`.$$\large\rm x^2+10x+24=0$$Subtracting 24,$$\large\rm x^2+10x\qquad\qquad=-24$$We'll attempt to complete the square on these x's.

zepdrix · Answer

When we have a quadratic in this form: $\large\rm x^2+bx$
There is a special value we want to add to the expression to complete it.

That value is calculated this way:
You take your b coefficient, cut it half, then square it.$$\large\rm \left(\frac{b}{2}\right)^2$$

zepdrix · Answer

So for this problem, we see that 10 is the b coefficient,$$\large\rm \left(\frac{10}{2}\right)^2=25$$Cut 10 in half, and then squaring it gives us 25.
This is the special value that we'll add to both sides of our equation to complete the square.

zepdrix · Answer

$$\large\rm x^2+10x+25=-24+25$$

zepdrix · Answer

$$\large\rm x^2+10x+25=1$$

zepdrix · Answer

Then our expression on the left will simplify down to $\large\rm \left(x+\frac{b}{2}\right)^2$

You can verify this by doing factoring by grouping from this point.
But anyway, should get something like this,$$\large\rm (x+5)^2=1$$

alex_mattucci · Answer

ok, i got that so far!

alex_mattucci · Answer

oh, that is the answer!

zepdrix · Answer

From this point, compare this to the expression involving p and q,
and try to match up the numbers carefully.

zepdrix · Answer

Or did they just want it in that form :)
Ya maybe I misread the question hehe

alex_mattucci · Answer

Thank you so much for your help, could you possibly help me with one more problem though?